Search Results - "Biktashev, V.N."

Computer simulation of the role of fibre orientation in cardioversion of chronic atrial fibrillation by Kharche, S.R, Stary, T, Biktasheva, I.V, Zhang, H, Biktashev, V.N

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Asymptotic properties of mathematical models of excitability by Biktasheva, I.V, Simitev, R.D, Suckley, R, Biktashev, V.N

“… 1998…”
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Strength-Duration relationship in an excitable medium by Bezekci, B., Biktashev, V.N.

“…•Approximate semi-analytical description for strength-duration curves for initiation of propagating waves in excitable media can be obtained by linearisation…”
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Running tails as codimension two quasi-solitons in excitation taxis waves with negative refractoriness by Tsyganov, M.A., Ivanitsky, G.R., Biktashev, V.N.

“…We describe a new type of wave phenomena observed in reaction-taxis systems of equations. This is “running tail”, a localized stable perturbation steadily…”
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Soliton-like phenomena in one-dimensional cross-diffusion systems: a predator–prey pursuit and evasion example by Tsyganov, M.A., Brindley, J., Holden, A.V., Biktashev, V.N.

“…We have studied properties of non-linear waves in a mathematical model of a predator–prey system with pursuit and evasion. We demonstrate a new type of…”
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Resonant drift of autowave vortices in two dimensions and the effects of boundaries and inhomogeneities by Biktashev, V.N., Holden, A.V.

“…The effect on autowave vortices in R 2 of a non-localized, periodic external forcing with a near-resonant frequency is investigated, and the effects of…”
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Phytoplankton blooms and fish recruitment rate: effects of spatial distribution by Biktashev, V.N, Brindley, J

“…We consider the spatio-temporal dynamics of a spatially-structured generalization of the phytoplankton-zooplankton-fish larvae model system proposed earlier…”
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Computational biology of propagation in excitable media models of cardiac tissue by Holden, A.V, Biktashev, V.N

“…Biophysically detailed models of the electrical activity of single cardiac cells are modular, stiff, high order, differential systems that are continually…”
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Design principles of a low voltage cardiac defibrillator based on the effect of feedback resonant drift by Biktashev, V N, Holden, A V

“…We explore the possibility of exploiting the phenomenon of the resonant drift of autowave vortices in the design of low-voltage cardiac defibrillators. The…”
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Deterministic Brownian motion in the hypermeander of spiral waves by Biktashev, V.N., Holden, A.V.

“…We explain the phenomenon of hypermeander of spiral waves, observed in numerical with various models of excitable media, as a chaotic attractor in the quotient…”
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Waves of constant shape and the structure of the “rotors boundary” in excitable media by Elkin, Yu.E., Biktashev, V.N., Holden, A.V.

“…We classify possible fixed-shaped excitation wave patterns in R 2 , in terms of the kinematic approach. These patterns include rotating waves (diverging and…”
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Three-dimensional organisation of re-entrant propagation during experimental ventricular fibrillation by Biktashev, V.N, Holden, A.V, Mironov, S.F, Pertsov, A.M, Zaitsev, A.V

“…Ventricular fibrillation is believed to be produced by the breakdown of re-entrant propagation waves of excitation into multiple re-entrant sources. These…”
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Vulnerability in an excitable medium: analytical and numerical studies of initiating unidirectional propagation by Starmer, C.F., Biktashev, V.N., Romashko, D.N., Stepanov, M.R., Makarova, O.N., Krinsky, V.I.

“…Cardiac tissue can display unusual responses to certain stimulation protocols. In the wake of a conditioning wave of excitation, spiral waves can be initiated…”
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Response Functions of Spiral Wave Solutions of the Complex Ginzburg-Landau Equation by Biktasheva, I V, Biktashev, V N

“…Dynamics of spiral waves in perturbed two-dimensional autowave media can be described asymptotically in terms of Aristotelean dynamics. We apply this general…”
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On the Movement of Excitation Wave Breaks by Elkin, Yu.E., Biktashev, V.N., Holden, A.V.

“…Movement of excitation waves in active media, in some cases, can be described by a kinematic approach in terms of the movement of curves, the wave crests, by…”
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On feedback resonant drift and interaction with the boundaries in circular and annular excitable media by Nikolaev, E.V., Biktashev, V.N., Holden, A.V.

“…Resonant drift has been proposed as a means of controlling cardiac arrhythmias. We study resonant drift in circular and annular media in which it is induced by…”
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Initiation of excitation waves: An analytical approach by Biktashev, V.N., Idris, I.

“…We consider the problem of initiation of a propagating wave in a one-dimensional excitable fibre. In the Zeldovich-Frank-Kamenetsky equation, a.k.a. Nagumo…”
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Effects of shear flows on nonlinear waves in excitable media by Biktashev, V N, Biktasheva, I V, Holden, A V, Tsyganov, M A, Brindley, J, Hill, N A

“…If an excitable medium is moving with relative shear, the waves of excitation may be broken by the motion. We consider such breaks for the case of a constant…”
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Feedback control of resonant drift as a tool for low voltage defibrillation by Biktasheva, I.V., Morgan, S.W., Plank, G., Biktashev, V.N.

“…Resonant drift of re-entry occurs in response to repetitive stimulation with period equal to that of the re-entry. Feedback controlled resonant drift drives…”
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Using novel simplified models of excitation for analytic description of initiation propagation and blockage of excitation waves by Idris, I., Simitev, R.D., Biktashev, V.N.

“…We consider applications of a recently suggested new asymptotic approach to detailed ionic models of cardiac excitation. First, we describe a three-variable…”
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